Quasi-periodic solutions of mixed AKNS equations

被引：25

作者：

Geng, Xianguo ^{[1
]}

Xue, Bo ^{[1
]}

机构：

[1] Zhengzhou Univ, Dept Math, Zhengzhou 450001, Henan, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 73卷 / 11期

基金：

中国国家自然科学基金;

关键词：

Mixed AKNS equations; Quasi-periodic solutions; ALGEBRO-GEOMETRIC SOLUTIONS; NONLINEAR-EVOLUTION-EQUATIONS;

D O I：

10.1016/j.na.2010.07.047

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A hierarchy of new nonlinear evolution equations, which are composed of the positive and negative AKNS flows, is proposed. On the basis of the theory of algebraic curves, the corresponding flows are straightened using the Abel-Jacobi coordinates. The meromorphic function phi, the Baker-Akhiezer vector (psi) over bar, and the hyperelliptic curve K-n are introduced and, by using these, quasi-periodic solutions of the first three nonlinear evolution equations in the hierarchy are constructed according to the asymptotic properties and the algebro-geometric characters of phi, (psi) over bar and K-n. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：3662 / 3674

页数：13

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